7-2(-5x-9)+2x=4(2x-1)+3(x+12)

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Solution for 7-2(-5x-9)+2x=4(2x-1)+3(x+12) equation:


Simplifying
7 + -2(-5x + -9) + 2x = 4(2x + -1) + 3(x + 12)

Reorder the terms:
7 + -2(-9 + -5x) + 2x = 4(2x + -1) + 3(x + 12)
7 + (-9 * -2 + -5x * -2) + 2x = 4(2x + -1) + 3(x + 12)
7 + (18 + 10x) + 2x = 4(2x + -1) + 3(x + 12)

Combine like terms: 7 + 18 = 25
25 + 10x + 2x = 4(2x + -1) + 3(x + 12)

Combine like terms: 10x + 2x = 12x
25 + 12x = 4(2x + -1) + 3(x + 12)

Reorder the terms:
25 + 12x = 4(-1 + 2x) + 3(x + 12)
25 + 12x = (-1 * 4 + 2x * 4) + 3(x + 12)
25 + 12x = (-4 + 8x) + 3(x + 12)

Reorder the terms:
25 + 12x = -4 + 8x + 3(12 + x)
25 + 12x = -4 + 8x + (12 * 3 + x * 3)
25 + 12x = -4 + 8x + (36 + 3x)

Reorder the terms:
25 + 12x = -4 + 36 + 8x + 3x

Combine like terms: -4 + 36 = 32
25 + 12x = 32 + 8x + 3x

Combine like terms: 8x + 3x = 11x
25 + 12x = 32 + 11x

Solving
25 + 12x = 32 + 11x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11x' to each side of the equation.
25 + 12x + -11x = 32 + 11x + -11x

Combine like terms: 12x + -11x = 1x
25 + 1x = 32 + 11x + -11x

Combine like terms: 11x + -11x = 0
25 + 1x = 32 + 0
25 + 1x = 32

Add '-25' to each side of the equation.
25 + -25 + 1x = 32 + -25

Combine like terms: 25 + -25 = 0
0 + 1x = 32 + -25
1x = 32 + -25

Combine like terms: 32 + -25 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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